Deep in the depths of the atomic realm, there exists a haven for the wayward and weary electron traveler: The Atoms’ Motel. It is not a plush resort, but very serviceable, discrete, and distinctively stylish. It has a lobby containing the check-in desk, a very attractive restaurant, and an electronic game room. There is no pool; electrons can get shorted out when in water. Electrons occupy the motel with great frequency and will take quantum leaps to get there.
Above the ground level lobby, there are seven levels of rooms, each having it’s own style and décor. The first level, for example, has only one room, a suite with only one double bed. It is the number one priority for traveling electrons due to its nearness to the ground level and its ample amenities. In fact, ground level rooms are extremely popular to electrons, because they want to expend the least amount of energy necessary to get to their rooms, and they are not at all bashful about sharing their accommodations with fellow electrons in order to occupy these key locations.
The second level has a total of two rooms—one suite with a double bed and one party room with three (3) double beds. The third level is similar in that it consists of three rooms—a suite with a double bed, a party room with three double beds, and , in addition, one dorm room with five (5) double beds. Odd is it not?
When electrons get to the fourth level, things follow the same pattern in that there is one suite and one double bed, one party room with three double beds, and one dorm room with five double beds, and an additional faraway room with seven (t) double beds. Odder still!! The fifth level is exactly like the fourth, but some day, hopefully, there will be another room on level five with nine (9) double beds. Gee!!!
Since the motel is still under construction, the sixth and seventh levels have only a few finished rooms. The sixth has only a suite, a party room, and a dorm room complete, while the seventh level has only a suite.
When the traveling electron arrives at the motel, it must first register at the front desk with Norman Atom. Norman will assign an electron to a bed that is available and as near as possible to the lobby on the ground level. The following registration procedure will be carried on as long as there are electrons to check in: assignment to the nearest room, one electron to a bed until the room is filled with two electrons to a bed. (Did you remember that every room is equipped with DOUBLE beds?) It should be noted at this point that electrons snore. It is for this reason that when electrons share a double bed, they must sleep at opposite ends (i.e., heat to foot) so as not to snore and startle the other out of bed. Snoring is repulsive, and electrons are not attracted to each other as it is.
Let us allow Norman to register some electrons. The first electron to arrive at the motel will get the first level suite and a double bed all to itself. As the second electron arrives, it will be assigned to the same room, Suite One, and the other end of the bed. When a third and then fourth electron check in with Norman, they will be assigned to the second level suite since Suite One is filled with two electrons.
As more and more electrons stop for the night, they will have to be assigned to the party room on the second level since the first level suite is full and the second level suite is full. Remember that electrons like to get as close to the ground level lobby as possible. Now, since there are three double beds in Party Room Two, the first electron into the room will get its choice of beds, while the second electrons gets its choice of the two beds remaining, and the third electron gets the last one. (You must realize that although electrons do not mind sharing, they will occupy an empty bed in the room if it is available.)
When the eighth electron checks in, it finds that Suite One is full, Suite Two is full, and Party Room two has one electron in each bed; he must, therefore, double up with one of the electrons (sleeping at the opposite end, of course). The same accommodations are available for the ninth and tenth electrons as they arrive late at the motel: they share with the electrons in Party Room two. As more and more electrons arrive, they are assigned in the following manner since Level One and Level Two are now full: two electrons to Level Three’s suite, then six to Level Three’s party room (one to a bed, then doubling up, remember). When Suite One, Suite Two, Party Room Two, Suite Three, and Party Room Three are all filled, an option is available: either start occupying the dorm room with its five beds or go up to the fourth level and use the suite. After all, electrons want to get as close to the lobby as possible and Suite Four may be closer than the dorm room of Level Three.
A similar variance from the suspected normal room assignments occurs when Party Room Four fills after Dorm Room Three, Suite Five after Party Four, Dorm Four after Suite Five, etc. This is due to the construction of the motel and the fact that the suites are nearer the elevator and thus nearer the ground level lobby and it takes more energy to go back to the dorm rooms and faraway rooms. The filling of rooms follows a diagonal pattern.
There are, of course, exceptions to this order of assignment. After all, nothing can be this easy and clear cut now, can it? Once the diagonal pattern has been established, however, the exceptions can seem logical. For example, suppose a chrome-plated bus (chromium) brings twenty-four electrons on vacation to check into an empty motel. Normal will make room assignments as follows: Suite One gets two electrons, Suite Two gets two, Party Room Two gets six (one to a bed, then doubling), Suite Three gets two, and Party Room Three gets six, but then there is an exception. Eighteen electrons have been given rooms, but there are still six more to go. It would be expected that two would go into Suite Four and the other four into Dorm Room Three. However, electrons may be more comfortable is one got the bed in Suite Four to itself and the other five got beds to themselves in Dorm Room Three; after all, dorm rooms have five double beds, and Suite Four is only slightly closer to the lobby. In this way each electron has its own bed, even though one might be slightly inconvenienced by being at a greater distance from the lobby.
In regard to the exceptions to the rule, the motel management’s (and Norman’s) mental, emotional, fiscal, and physical well-being (stability) is dependent upon how well the available accommodations can be filled. It would be ideal to have each of the rooms full. If that is not possible, making them half-full is the next best arrangement, or, barring that, putting electrons in pairs to keep each other company is a final option. This stability will have a lot to do with assignments of rooms that are on the upper levels and a long way from the lobby.
Mod Note: Not chemistry cat but this is cool and might help someone learning this :)
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